modular arithmetic

system of algebraic operations defined for remainders under division by a fixed positive integer; system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus
CreativeWork branch_of_mathematics Q319400
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modular arithmetic

Summary

modular arithmetic is a branch of mathematics[1]. It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • modular arithmetic's instance of is recorded as branch of mathematics[3].
  • modular arithmetic's instance of is recorded as mathematical theory[4].
  • modular arithmetic is a type of arithmetic[5].
  • modular arithmetic is part of elementary number theory[6].
  • modular arithmetic is part of theory of integers[7].
  • modular arithmetic's Commons category is recorded as Modular arithmetic[8].
  • modular arithmetic's topic's main category is recorded as Category:Modular arithmetic[9].
  • modular arithmetic's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/modular-arithmetic[10].
  • modular arithmetic's has characteristic is recorded as congruence of integers[11].
  • modular arithmetic's different from is recorded as modulo operation[12].
  • modular arithmetic's is the study of is recorded as modulo[13].
  • modular arithmetic's is the study of is recorded as congruence of integers[14].
  • modular arithmetic's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[15].
  • modular arithmetic's maintained by WikiProject is recorded as WikiProject Mathematics[16].

Body

Publication

Part of include elementary number theory[6], a mathematical theory[17] and theory of integers[7].

Why It Matters

modular arithmetic has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[2] It is known by 31 alternative names across languages and contexts.[18]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . mathworld.wolfram.com. mathworld.wolfram.com. Provenance: wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . mathworld.wolfram.com. mathworld.wolfram.com. Provenance: wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.

Inline context (facts about related entities)

  1. [17] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikidata sitelinks. wikidata.org.
  2. [18] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). modular arithmetic. Retrieved May 3, 2026, from https://4ort.xyz/entity/modular-arithmetic
MLA “modular arithmetic.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/modular-arithmetic.
BibTeX @misc{4ortxyz_modular-arithmetic_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{modular arithmetic}}, year = {2026}, url = {https://4ort.xyz/entity/modular-arithmetic}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): modular arithmetic — https://4ort.xyz/entity/modular-arithmetic (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 13d ago · AddyLockPool · 2026-08-05 view diff on Wikidata ↗
    Has characteristic congruence of integers
    Different from modulo operation
    Part of
    Maintained by wikiproject WikiProject Mathematics
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P1343]]: [[Q94887]]"
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